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| PAGE: 705 | SET: Exercises | PROBLEM: 78 |
The parametric equation is 
and 
.
(a)
Consider 
.
.
Consider 
.
.
Trigonometric identity : 
.
The curve equation 
represents a circle equation with center at origin and radius of 
units.
(b)
The parametric equation is 
and 
.
Consider .
.
Consider 
.
.
Trigonometric identity : 
.
The curve equation 
represents a circle equation with center at 
and radius of 
units.
The center of the circle shifted from origin to 
.
(c)
The sine and cosine are interchanged.
The parametric equation is 
and 
.
Consider 
.
.
Consider 
.
.
Trigonometric identity : .
The curve equation 
represents a circle equation with center at origin and radius of units.
But the curve starts from 
where the curve in (a) starts at 
.
(a) The curve equation represents a circle equation with center at origin and radius of units.
(b) The curve equation 
represents a circle equation with center at and radius of units.
The center of the circle shifted from origin to .
(c) The curve starts from where the curve in (a) starts at 
.
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